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SUMMARY:Extended Chern–Simons Model for a Vector Multiplet
DTSTART;VALUE=DATE-TIME:20220728T144200Z
DTEND;VALUE=DATE-TIME:20220728T145400Z
DTSTAMP;VALUE=DATE-TIME:20220927T133533Z
UID:indico-contribution-320@mosphys.ru
DESCRIPTION:Speakers: Oleg Nosyrev ()\nWe consider a gauge theory of vecto
r fields in 3D Minkowski space. At the free level\, the dynamical variable
s are subjected to the extended Chern–Simons (ECS) equations with higher
derivatives. If the color index takes n values\, the third-order model ad
mits a 2n-parameter series of second-rank conserved tensors\, which includ
es the canonical energy–momentum. Even though the canonical energy is un
bounded\, the other representatives in the series have a bounded from belo
w the 00-component. The theory admits consistent self-interactions with th
e Yang–Mills gauge symmetry. The Lagrangian couplings preserve the energ
y–momentum tensor that is unbounded from below\, and they do not lead to
a stable non-linear theory. The non-Lagrangian couplings are consistent w
ith the existence of a conserved tensor with a 00-component bounded from b
elow. These models are stable at the non-linear level. The dynamics of int
eracting theory admit a constraint Hamiltonian form. The Hamiltonian densi
ty is given by the 00-component of the conserved tensor. In the case of st
able interactions\, the Poisson bracket and Hamiltonian do not follow from
the canonical Ostrogradski construction. Particular attention is paid to
the “triply massless” ECS theory\, which demonstrates instability even
at the free level. It is shown that the introduction of extra scalar fiel
d\, serving as Higgs\, can stabilize the dynamics in the vicinity of the l
ocal minimum of energy. The equations of motion of the stable model are no
n-Lagrangian\, but they admit the Hamiltonian form of dynamics with a Hami
ltonian that is bounded from below.\n\nhttps://mosphys.ru/indico/event/6/c
ontributions/320/
LOCATION:House of International Conferences
URL:https://mosphys.ru/indico/event/6/contributions/320/
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